WBJEE · Physics · Mathematics in Physics
The resistance \(\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}\) where \(\mathrm{V}=(25 \pm 0.4)\) Volt and \(\mathrm{I}=(200 \pm 3)\) Ampere. The percentage error in ' R ' is
- A \(1.5 \%\)
- B \(1.6 \%\)
- C \(3.1 \%\)
- D \(0.1 \%\)
Answer & Solution
Correct Answer
(C) \(3.1 \%\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}} \Rightarrow\left(\frac{\Delta \mathrm{R}}{\mathrm{R}}\right)_{\max } \times 100 \%=\left(\frac{\Delta \mathrm{V}}{\mathrm{~V}}+\frac{\Delta \mathrm{I}}{\mathrm{I}}\right) \times 100 \% \\ &…
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